dorsal/arxiv
View SchemaFast simulation of a quantum phase transition in an ion-trap realisable unitary map
| Authors | J. P. Barjaktarevic, G. J. Milburn, Ross H. McKenzie |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401137 |
| URL | https://arxiv.org/abs/quant-ph/0401137 |
| DOI | 10.1103/PhysRevA.71.012335 |
| Journal | Phys. Rev. A 71, 012335 (2005) |
Abstract
We demonstrate a method of exploring the quantum critical point of the Ising universality class using unitary maps that have recently been demonstrated in ion trap quantum gates. We reverse the idea with which Feynman conceived quantum computing, and ask whether a realisable simulation corresponds to a physical system. We proceed to show that a specific simulation (a unitary map) is physically equivalent to a Hamiltonian that belongs to the same universality class as the transverse Ising Hamiltonian. We present experimental signatures, and numerical simulation for these in the six-qubit case.
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"abstract": "We demonstrate a method of exploring the quantum critical point of the Ising\nuniversality class using unitary maps that have recently been demonstrated in\nion trap quantum gates. We reverse the idea with which Feynman conceived\nquantum computing, and ask whether a realisable simulation corresponds to a\nphysical system. We proceed to show that a specific simulation (a unitary map)\nis physically equivalent to a Hamiltonian that belongs to the same universality\nclass as the transverse Ising Hamiltonian. We present experimental signatures,\nand numerical simulation for these in the six-qubit case.",
"arxiv_id": "quant-ph/0401137",
"authors": [
"J. P. Barjaktarevic",
"G. J. Milburn",
"Ross H. McKenzie"
],
"categories": [
"quant-ph",
"cond-mat.str-el"
],
"doi": "10.1103/PhysRevA.71.012335",
"journal_ref": "Phys. Rev. A 71, 012335 (2005)",
"title": "Fast simulation of a quantum phase transition in an ion-trap realisable unitary map",
"url": "https://arxiv.org/abs/quant-ph/0401137"
},
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